34530665400 has 1152 divisors, whose sum is σ = 152925926400. Its totient is φ = 6830208000.

The previous prime is 34530665339. The next prime is 34530665401. The reversal of 34530665400 is 456603543.

34530665400 is a `hidden beast` number, since 3 + 4 + 53 + 0 + 66 + 540 + 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 (34530665401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 486347365 + ... + 486347435.

It is an arithmetic number, because the mean of its divisors is an integer number (132748200).

Almost surely, 2^34530665400 is an apocalyptic number.

34530665400 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 34530665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76462963200).

34530665400 is an abundant number, since it is smaller than the sum of its proper divisors (118395261000).

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

34530665400 is a wasteful number, since it uses less digits than its factorization.

34530665400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34530665400 in words is "thirty-four billion, five hundred thirty million, six hundred sixty-five thousand, four hundred".