30540035764 has 288 divisors, whose sum is σ = 71473425408. Its totient is φ = 11321856000.

The previous prime is 30540035731. The next prime is 30540035783. The reversal of 30540035764 is 46753004503.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233129979 + ... + 233130109.

It is an arithmetic number, because the mean of its divisors is an integer number (248171616).

Almost surely, 2^30540035764 is an apocalyptic number.

30540035764 is a gapful number since it is divisible by the number (34) 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 30540035764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35736712704).

30540035764 is an abundant number, since it is smaller than the sum of its proper divisors (40933389644).

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

30540035764 is a wasteful number, since it uses less digits than its factorization.

30540035764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 37.

The spelling of 30540035764 in words is "thirty billion, five hundred forty million, thirty-five thousand, seven hundred sixty-four".