34362036900 has 243 divisors, whose sum is σ = 111362357379. Its totient is φ = 8862168960.

The previous prime is 34362036857. The next prime is 34362036953. The reversal of 34362036900 is 963026343.

The square root of 34362036900 is 185370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3262008996 + 31100027904 = 57114^2 + 176352^2 .

It is a super-2 number, since 2×34362036900² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 205760617 + ... + 205760783.

Almost surely, 2^34362036900 is an apocalyptic number.

34362036900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34362036900 is the 185370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34362036900

34362036900 is an abundant number, since it is smaller than the sum of its proper divisors (77000320479).

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

34362036900 is a wasteful number, since it uses less digits than its factorization.

34362036900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Multiplying 34362036900 by its sum of digits (36), we get a square (1237033328400 = 1112220²).

34362036900 divided by its sum of digits (36) gives a square (954501025 = 30895²).

The spelling of 34362036900 in words is "thirty-four billion, three hundred sixty-two million, thirty-six thousand, nine hundred".