3456897696 has 384 divisors, whose sum is σ = 12337920000. Its totient is φ = 919683072.

The previous prime is 3456897659. The next prime is 3456897713. The reversal of 3456897696 is 6967986543.

3456897696 is a `hidden beast` number, since 3 + 4 + 568 + 9 + 7 + 69 + 6 = 666.

It is a super-2 number, since 2×3456897696² = 23900283361220216832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7698880 + ... + 7699328.

It is an arithmetic number, because the mean of its divisors is an integer number (32130000).

Almost surely, 2^3456897696 is an apocalyptic number.

3456897696 is a gapful number since it is divisible by the number (36) 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 3456897696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960000).

3456897696 is an abundant number, since it is smaller than the sum of its proper divisors (8881022304).

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

3456897696 is a wasteful number, since it uses less digits than its factorization.

3456897696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 547 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 3456897696 is about 58795.3883905872. The cubic root of 3456897696 is about 1512.0361543383.

The spelling of 3456897696 in words is "three billion, four hundred fifty-six million, eight hundred ninety-seven thousand, six hundred ninety-six".