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3386064864 = 2537133471117
BaseRepresentation
bin1100100111010011…
…0011111111100000
322201222110220202210
43021310303333200
523413313033424
61315555042120
7146624035140
oct31164637740
98658426683
103386064864
111488388716
127a5ba0340
1341c6870a0
142419c0920
1514c403729
hexc9d33fe0

3386064864 has 192 divisors, whose sum is σ = 10980942336. Its totient is φ = 889657344.

The previous prime is 3386064863. The next prime is 3386064887. The reversal of 3386064864 is 4684606833.

It is a super-2 number, since 2×33860648642 = 22930870526430676992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386064863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3030834 + ... + 3031950.

It is an arithmetic number, because the mean of its divisors is an integer number (57192408).

Almost surely, 23386064864 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 3386064864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490471168).

3386064864 is an abundant number, since it is smaller than the sum of its proper divisors (7594877472).

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

3386064864 is a wasteful number, since it uses less digits than its factorization.

3386064864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The square root of 3386064864 is about 58189.9034541217. The cubic root of 3386064864 is about 1501.6374509636.

The spelling of 3386064864 in words is "three billion, three hundred eighty-six million, sixty-four thousand, eight hundred sixty-four".