34455238272 has 1152 divisors, whose sum is σ = 135104336640. Its totient is φ = 8653381632.

The previous prime is 34455238253. The next prime is 34455238313. The reversal of 34455238272 is 27283255443.

34455238272 is a `hidden beast` number, since 3 + 4 + 45 + 523 + 82 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (1612800) is a multiple of the sum of its prime factors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 733090153 + ... + 733090199.

It is an arithmetic number, because the mean of its divisors is an integer number (117278070).

Almost surely, 2^34455238272 is an apocalyptic number.

34455238272 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 34455238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67552168320).

34455238272 is an abundant number, since it is smaller than the sum of its proper divisors (100649098368).

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

34455238272 is a wasteful number, since it uses less digits than its factorization.

34455238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 34455238272 in words is "thirty-four billion, four hundred fifty-five million, two hundred thirty-eight thousand, two hundred seventy-two".