34053677000 has 192 divisors, whose sum is σ = 94223366640. Its totient is φ = 11483136000.

The previous prime is 34053676999. The next prime is 34053677033. The reversal of 34053677000 is 77635043.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 879844 + 34052797156 = 938^2 + 184534^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983304 + ... + 2994696.

Almost surely, 2^34053677000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34053677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47111683320).

34053677000 is an abundant number, since it is smaller than the sum of its proper divisors (60169689640).

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

34053677000 is a wasteful number, since it uses less digits than its factorization.

34053677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11489 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The spelling of 34053677000 in words is "thirty-four billion, fifty-three million, six hundred seventy-seven thousand".