34190916480 has 1344 divisors, whose sum is σ = 152914197600. Its totient is φ = 7148445696.

The previous prime is 34190916457. The next prime is 34190916493. The reversal of 34190916480 is 8461909143.

34190916480 is a `hidden beast` number, since 341 + 90 + 91 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 167 ways as a sum of consecutive naturals, for example, 1178997106 + ... + 1178997134.

Almost surely, 2^34190916480 is an apocalyptic number.

34190916480 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 34190916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76457098800).

34190916480 is an abundant number, since it is smaller than the sum of its proper divisors (118723281120).

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

34190916480 is an equidigital number, since it uses as much as digits as its factorization.

34190916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 34190916480 in words is "thirty-four billion, one hundred ninety million, nine hundred sixteen thousand, four hundred eighty".