3480482440512 has 336 divisors, whose sum is σ = 12984549128640. Its totient is φ = 904021171200.

The previous prime is 3480482440507. The next prime is 3480482440577. The reversal of 3480482440512 is 2150442840843.

3480482440512 is a `hidden beast` number, since 3 + 4 + 80 + 4 + 82 + 440 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3480482440512² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937039 + ... + 2799822.

Almost surely, 2^{3480482440512} is an apocalyptic number.

3480482440512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3480482440512 is an abundant number, since it is smaller than the sum of its proper divisors (9504066688128).

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

3480482440512 is a wasteful number, since it uses less digits than its factorization.

3480482440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736907 (or 3736884 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 3480482440512 in words is "three trillion, four hundred eighty billion, four hundred eighty-two million, four hundred forty thousand, five hundred twelve".