34991221356 has 288 divisors, whose sum is σ = 113299816448. Its totient is φ = 8857175040.

The previous prime is 34991221289. The next prime is 34991221367. The reversal of 34991221356 is 65312219943.

34991221356 is a `hidden beast` number, since 3 + 499 + 1 + 22 + 135 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12896256 + ... + 12898968.

Almost surely, 2^34991221356 is an apocalyptic number.

34991221356 is a gapful number since it is divisible by the number (36) 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 34991221356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56649908224).

34991221356 is an abundant number, since it is smaller than the sum of its proper divisors (78308595092).

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

34991221356 is a wasteful number, since it uses less digits than its factorization.

34991221356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2896 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 34991221356 in words is "thirty-four billion, nine hundred ninety-one million, two hundred twenty-one thousand, three hundred fifty-six".