38185602720 has 96 divisors (see below), whose sum is σ = 120426953472. Its totient is φ = 10170780672.

The previous prime is 38185602713. The next prime is 38185602727. The reversal of 38185602720 is 2720658183.

It is an interprime number because it is at equal distance from previous prime (38185602713) and next prime (38185602727).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (38185602727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362809 + ... + 456071.

It is an arithmetic number, because the mean of its divisors is an integer number (1254447432).

Almost surely, 2^38185602720 is an apocalyptic number.

38185602720 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 38185602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60213476736).

38185602720 is an abundant number, since it is smaller than the sum of its proper divisors (82241350752).

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

38185602720 is a wasteful number, since it uses less digits than its factorization.

38185602720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94134 (or 94126 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 38185602720 in words is "thirty-eight billion, one hundred eighty-five million, six hundred two thousand, seven hundred twenty".