34015900356 has 81 divisors (see below), whose sum is σ = 87634909453. Its totient is φ = 11125058880.

The previous prime is 34015900351. The next prime is 34015900357. The reversal of 34015900356 is 65300951043.

The square root of 34015900356 is 184434.

It is a perfect power (a square), and thus also a powerful number.

34015900356 is a `hidden beast` number, since 34 + 0 + 1 + 590 + 0 + 35 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9754722756 + 24261177600 = 98766^2 + 155760^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34015900356.

It is not an unprimeable number, because it can be changed into a prime (34015900351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65289376 + ... + 65289896.

Almost surely, 2^34015900356 is an apocalyptic number.

34015900356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34015900356 is the 184434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34015900356

34015900356 is an abundant number, since it is smaller than the sum of its proper divisors (53619009097).

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

34015900356 is an equidigital number, since it uses as much as digits as its factorization.

34015900356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 34015900356 by its sum of digits (36), we get a square (1224572412816 = 1106604²).

34015900356 divided by its sum of digits (36) gives a square (944886121 = 30739²).

The spelling of 34015900356 in words is "thirty-four billion, fifteen million, nine hundred thousand, three hundred fifty-six".