38342640000 has 640 divisors, whose sum is σ = 150656774400. Its totient is φ = 8451072000.

The previous prime is 38342639983. The next prime is 38342640031. The reversal of 38342640000 is 4624383.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 38342640000.

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, 48719607 + ... + 48720393.

It is an arithmetic number, because the mean of its divisors is an integer number (235401210).

Almost surely, 2^38342640000 is an apocalyptic number.

38342640000 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 38342640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75328387200).

38342640000 is an abundant number, since it is smaller than the sum of its proper divisors (112314134400).

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

38342640000 is an equidigital number, since it uses as much as digits as its factorization.

38342640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 38342640000 in words is "thirty-eight billion, three hundred forty-two million, six hundred forty thousand".