3512400675360 has 288 divisors, whose sum is σ = 11694768543360. Its totient is φ = 885995421696.

The previous prime is 3512400675349. The next prime is 3512400675367. The reversal of 3512400675360 is 635760042153.

It is a super-2 number, since 2×3512400675360² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3512400675367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116602381 + ... + 116632499.

It is an arithmetic number, because the mean of its divisors is an integer number (40606835220).

Almost surely, 2^{3512400675360} is an apocalyptic number.

3512400675360 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 3512400675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847384271680).

3512400675360 is an abundant number, since it is smaller than the sum of its proper divisors (8182367868000).

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

3512400675360 is a wasteful number, since it uses less digits than its factorization.

3512400675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30848 (or 30821 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 3512400675360 in words is "three trillion, five hundred twelve billion, four hundred million, six hundred seventy-five thousand, three hundred sixty".