34079262840 has 1344 divisors, whose sum is σ = 150180298560. Its totient is φ = 6897623040.

The previous prime is 34079262803. The next prime is 34079262851. The reversal of 34079262840 is 4826297043.

34079262840 is a `hidden beast` number, since 340 + 7 + 9 + 26 + 284 + 0 = 666.

It is a super-2 number, since 2×34079262840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 558676410 + ... + 558676470.

Almost surely, 2^34079262840 is an apocalyptic number.

34079262840 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 34079262840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75090149280).

34079262840 is an abundant number, since it is smaller than the sum of its proper divisors (116101035720).

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

34079262840 is a wasteful number, since it uses less digits than its factorization.

34079262840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34079262840 in words is "thirty-four billion, seventy-nine million, two hundred sixty-two thousand, eight hundred forty".