34628156369730 has 1792 divisors, whose sum is σ = 127283539968000. Its totient is φ = 6697121679360.

The previous prime is 34628156369717. The next prime is 34628156369731. The reversal of 34628156369730 is 3796365182643.

34628156369730 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 8 + 1 + 563 + 69 + 7 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34628156369731) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 48161552311 + ... + 48161553029.

It is a 1-persistent number, because it is pandigital, but 2⋅34628156369730 = 69256312739460 is not.

Almost surely, 2^{34628156369730} is an apocalyptic number.

34628156369730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34628156369730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63641769984000).

34628156369730 is an abundant number, since it is smaller than the sum of its proper divisors (92655383598270).

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

34628156369730 is a wasteful number, since it uses less digits than its factorization.

34628156369730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 34628156369730 in words is "thirty-four trillion, six hundred twenty-eight billion, one hundred fifty-six million, three hundred sixty-nine thousand, seven hundred thirty".