3463977752640 has 672 divisors, whose sum is σ = 13057336465920. Its totient is φ = 875046343680.

The previous prime is 3463977752633. The next prime is 3463977752731. The reversal of 3463977752640 is 462577793643.

It is a happy number.

3463977752640 is a `hidden beast` number, since 3 + 4 + 6 + 39 + 7 + 77 + 526 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252635385 + ... + 252649095.

Almost surely, 2^{3463977752640} is an apocalyptic number.

3463977752640 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 3463977752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528668232960).

3463977752640 is an abundant number, since it is smaller than the sum of its proper divisors (9593358713280).

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

3463977752640 is an equidigital number, since it uses as much as digits as its factorization.

3463977752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13787 (or 13740 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 3463977752640 in words is "three trillion, four hundred sixty-three billion, nine hundred seventy-seven million, seven hundred fifty-two thousand, six hundred forty".