34291385472 has 128 divisors (see below), whose sum is σ = 94393656000. Its totient is φ = 11016843264.

The previous prime is 34291385449. The next prime is 34291385539. The reversal of 34291385472 is 27458319243.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 7158054 + ... + 7162842.

Almost surely, 2^34291385472 is an apocalyptic number.

34291385472 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 34291385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47196828000).

34291385472 is an abundant number, since it is smaller than the sum of its proper divisors (60102270528).

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

34291385472 is a wasteful number, since it uses less digits than its factorization.

34291385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5466 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 34291385472 in words is "thirty-four billion, two hundred ninety-one million, three hundred eighty-five thousand, four hundred seventy-two".