34457342400 has 378 divisors, whose sum is σ = 132624301680. Its totient is φ = 8481208320.

The previous prime is 34457342357. The next prime is 34457342401. The reversal of 34457342400 is 424375443.

34457342400 is a `hidden beast` number, since 3 + 4 + 4 + 573 + 42 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457342401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2426521 + ... + 2440679.

Almost surely, 2^34457342400 is an apocalyptic number.

34457342400 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 34457342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66312150840).

34457342400 is an abundant number, since it is smaller than the sum of its proper divisors (98166959280).

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

34457342400 is a wasteful number, since it uses less digits than its factorization.

34457342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14213 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 34457342400 in words is "thirty-four billion, four hundred fifty-seven million, three hundred forty-two thousand, four hundred".