34214178804060 has 192 divisors, whose sum is σ = 102068343336960. Its totient is φ = 8533495971840.

The previous prime is 34214178804031. The next prime is 34214178804079. The reversal of 34214178804060 is 6040887141243.

It is a super-2 number, since 2×34214178804060² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730564845 + ... + 730611675.

It is an arithmetic number, because the mean of its divisors is an integer number (531605954880).

Almost surely, 2^{34214178804060} is an apocalyptic number.

34214178804060 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 34214178804060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51034171668480).

34214178804060 is an abundant number, since it is smaller than the sum of its proper divisors (67854164532900).

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

34214178804060 is a wasteful number, since it uses less digits than its factorization.

34214178804060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51316 (or 51314 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 34214178804060 in words is "thirty-four trillion, two hundred fourteen billion, one hundred seventy-eight million, eight hundred four thousand, sixty".