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3749680704 = 2637211191907
BaseRepresentation
bin1101111101111111…
…1001011001000000
3100200022200111221010
43133133321121000
530134404240304
61420024400520
7161630521500
oct33737713100
910608614833
103749680704
111654662680
12887916140
13479ac98a3
14277dd3a00
1516e2cb789
hexdf7f9640

3749680704 has 336 divisors, whose sum is σ = 13259531520. Its totient is φ = 922199040.

The previous prime is 3749680703. The next prime is 3749680747. The reversal of 3749680704 is 4070869473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3749680703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1965319 + ... + 1967225.

Almost surely, 23749680704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629765760).

3749680704 is an abundant number, since it is smaller than the sum of its proper divisors (9509850816).

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

3749680704 is a wasteful number, since it uses less digits than its factorization.

3749680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3749680704 is about 61234.6364731595. The cubic root of 3749680704 is about 1553.5721571960.

The spelling of 3749680704 in words is "three billion, seven hundred forty-nine million, six hundred eighty thousand, seven hundred four".