34628140800 has 1296 divisors, whose sum is σ = 146136646656. Its totient is φ = 7741440000.

The previous prime is 34628140793. The next prime is 34628140801. The reversal of 34628140800 is 804182643.

34628140800 is a `hidden beast` number, since 3 + 462 + 81 + 40 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34628140801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 805305579 + ... + 805305621.

Almost surely, 2^34628140800 is an apocalyptic number.

34628140800 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 34628140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73068323328).

34628140800 is an abundant number, since it is smaller than the sum of its proper divisors (111508505856).

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

34628140800 is a wasteful number, since it uses less digits than its factorization.

34628140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 34628140800 in words is "thirty-four billion, six hundred twenty-eight million, one hundred forty thousand, eight hundred".