38070090240 has 1280 divisors, whose sum is σ = 163669524480. Its totient is φ = 7325614080.

The previous prime is 38070090239. The next prime is 38070090251. The reversal of 38070090240 is 4209007083.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 624099810 + ... + 624099870.

It is an arithmetic number, because the mean of its divisors is an integer number (127866816).

Almost surely, 2^38070090240 is an apocalyptic number.

38070090240 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 38070090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81834762240).

38070090240 is an abundant number, since it is smaller than the sum of its proper divisors (125599434240).

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

38070090240 is a wasteful number, since it uses less digits than its factorization.

38070090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 38070090240 in words is "thirty-eight billion, seventy million, ninety thousand, two hundred forty".