34140017376 has 240 divisors, whose sum is σ = 102563623008. Its totient is φ = 11137305600.

The previous prime is 34140017347. The next prime is 34140017459. The reversal of 34140017376 is 67371004143.

34140017376 is a `hidden beast` number, since 3 + 414 + 0 + 0 + 173 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34140017376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41583046 + ... + 41583866.

Almost surely, 2^34140017376 is an apocalyptic number.

34140017376 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 34140017376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51281811504).

34140017376 is an abundant number, since it is smaller than the sum of its proper divisors (68423605632).

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

34140017376 is a wasteful number, since it uses less digits than its factorization.

34140017376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 34140017376 in words is "thirty-four billion, one hundred forty million, seventeen thousand, three hundred seventy-six".