34506362880 has 1040 divisors, whose sum is σ = 141578224128. Its totient is φ = 7962624000.

The previous prime is 34506362879. The next prime is 34506362921. The reversal of 34506362880 is 8826360543.

It is a happy number.

34506362880 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 636 + 2 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×34506362880³ (a number of 33 digits) contains 333 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 79 ways as a sum of consecutive naturals, for example, 565678050 + ... + 565678110.

Almost surely, 2^34506362880 is an apocalyptic number.

34506362880 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 34506362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70789112064).

34506362880 is an abundant number, since it is smaller than the sum of its proper divisors (107071861248).

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

34506362880 is a wasteful number, since it uses less digits than its factorization.

34506362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 34506 and 362880, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 34506362880 in words is "thirty-four billion, five hundred six million, three hundred sixty-two thousand, eight hundred eighty".