3480527232000 has 5280 divisors, whose sum is σ = 17760418131456. Its totient is φ = 668860416000.

The previous prime is 3480527231989. The next prime is 3480527232073. The reversal of 3480527232000 is 2327250843.

3480527232000 is a `hidden beast` number, since 34 + 80 + 527 + 2 + 3 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×3480527232000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 112275071985 + ... + 112275072015.

Almost surely, 2^{3480527232000} is an apocalyptic number.

3480527232000 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 3480527232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880209065728).

3480527232000 is an abundant number, since it is smaller than the sum of its proper divisors (14279890899456).

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

3480527232000 is a wasteful number, since it uses less digits than its factorization.

3480527232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 3480527232000 in words is "three trillion, four hundred eighty billion, five hundred twenty-seven million, two hundred thirty-two thousand".