34161972480 has 144 divisors (see below), whose sum is σ = 121227677760. Its totient is φ = 9109850112.

The previous prime is 34161972463. The next prime is 34161972521. The reversal of 34161972480 is 8427916143.

34161972480 is a `hidden beast` number, since 3 + 4 + 1 + 619 + 7 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 459682 + ... + 528801.

Almost surely, 2^34161972480 is an apocalyptic number.

34161972480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34161972480 is an abundant number, since it is smaller than the sum of its proper divisors (87065705280).

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

34161972480 is an equidigital number, since it uses as much as digits as its factorization.

34161972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988513 (or 988493 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34161972480 in words is "thirty-four billion, one hundred sixty-one million, nine hundred seventy-two thousand, four hundred eighty".