3483761434440 has 128 divisors (see below), whose sum is σ = 12122598620160. Its totient is φ = 784403414784.

The previous prime is 3483761434397. The next prime is 3483761434477. The reversal of 3483761434440 is 444341673843.

It is a super-2 number, since 2×3483761434440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30893982 + ... + 31006541.

It is an arithmetic number, because the mean of its divisors is an integer number (94707801720).

Almost surely, 2^{3483761434440} is an apocalyptic number.

3483761434440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3483761434440 is an abundant number, since it is smaller than the sum of its proper divisors (8638837185720).

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

3483761434440 is a wasteful number, since it uses less digits than its factorization.

3483761434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61900611 (or 61900607 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 51.

The spelling of 3483761434440 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-one million, four hundred thirty-four thousand, four hundred forty".