3430255012000 has 96 divisors (see below), whose sum is σ = 8553930315840. Its totient is φ = 1351622764800.

The previous prime is 3430255011961. The next prime is 3430255012021. The reversal of 3430255012000 is 2105520343.

It is a super-2 number, since 2×3430255012000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6131730 + ... + 6667729.

It is an arithmetic number, because the mean of its divisors is an integer number (89103440790).

Almost surely, 2^{3430255012000} is an apocalyptic number.

It is an amenable number.

3430255012000 is an abundant number, since it is smaller than the sum of its proper divisors (5123675303840).

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

3430255012000 is a wasteful number, since it uses less digits than its factorization.

3430255012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12799551 (or 12799533 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 3430255012000 in words is "three trillion, four hundred thirty billion, two hundred fifty-five million, twelve thousand".