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3396364992 = 26341722267
BaseRepresentation
bin1100101001110000…
…0110101011000000
322202200212012220000
43022130012223000
523423432134432
61321003520000
7150110424516
oct31234065300
98680765800
103396364992
111493183319
127a9529000
13421852437
142431024b6
1514d28a57c
hexca706ac0

3396364992 has 210 divisors, whose sum is σ = 10699673292. Its totient is φ = 1065056256.

The previous prime is 3396364981. The next prime is 3396364997. The reversal of 3396364992 is 2994636933.

It is a happy number.

3396364992 is a `hidden beast` number, since 33 + 96 + 36 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3396364997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1497043 + ... + 1499309.

Almost surely, 23396364992 is an apocalyptic number.

3396364992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3396364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349836646).

3396364992 is an abundant number, since it is smaller than the sum of its proper divisors (7303308300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3396364992 is a wasteful number, since it uses less digits than its factorization.

3396364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2289 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 54.

The square root of 3396364992 is about 58278.3406764469. The cubic root of 3396364992 is about 1503.1585284638.

The spelling of 3396364992 in words is "three billion, three hundred ninety-six million, three hundred sixty-four thousand, nine hundred ninety-two".