34956900 has 216 divisors, whose sum is σ = 124679520. Its totient is φ = 8395200.

The previous prime is 34956881. The next prime is 34956923. The reversal of 34956900 is 965943.

It is a super-2 number, since 2×34956900² = 2443969715220000, which 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326647 + ... + 326753.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^34956900 is an apocalyptic number.

34956900 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 34956900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

34956900 is an abundant number, since it is smaller than the sum of its proper divisors (89722620).

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

34956900 is a wasteful number, since it uses less digits than its factorization.

34956900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 34956900 is about 5912.4360461657. The cubic root of 34956900 is about 326.9723063829.

The spelling of 34956900 in words is "thirty-four million, nine hundred fifty-six thousand, nine hundred".