3456399609600 has 864 divisors, whose sum is σ = 13504524988416. Its totient is φ = 761846169600.

The previous prime is 3456399609563. The next prime is 3456399609643. The reversal of 3456399609600 is 69069936543.

It is a super-2 number, since 2×3456399609600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320747492 + ... + 1320750108.

Almost surely, 2^{3456399609600} is an apocalyptic number.

3456399609600 is a gapful number since it is divisible by the number (30) 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 3456399609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752262494208).

3456399609600 is an abundant number, since it is smaller than the sum of its proper divisors (10048125378816).

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

3456399609600 is a wasteful number, since it uses less digits than its factorization.

3456399609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 60.

The spelling of 3456399609600 in words is "three trillion, four hundred fifty-six billion, three hundred ninety-nine million, six hundred nine thousand, six hundred".