3480507354432 has 112 divisors (see below), whose sum is σ = 9461405430720. Its totient is φ = 1128374525952.

The previous prime is 3480507354421. The next prime is 3480507354473. The reversal of 3480507354432 is 2344537050843.

It is a super-2 number, since 2×3480507354432² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 18440443 + ... + 18628229.

Almost surely, 2^{3480507354432} is an apocalyptic number.

3480507354432 is a gapful number since it is divisible by the number (32) 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 3480507354432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730702715360).

3480507354432 is an abundant number, since it is smaller than the sum of its proper divisors (5980898076288).

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

3480507354432 is a wasteful number, since it uses less digits than its factorization.

3480507354432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190448 (or 190438 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 3480507354432 in words is "three trillion, four hundred eighty billion, five hundred seven million, three hundred fifty-four thousand, four hundred thirty-two".