38958857280 has 672 divisors, whose sum is σ = 166869953280. Its totient is φ = 8515584000.

The previous prime is 38958857263. The next prime is 38958857339. The reversal of 38958857280 is 8275885983.

38958857280 is a `hidden beast` number, since 3 + 8 + 9 + 58 + 8 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 9735280 + ... + 9739280.

Almost surely, 2^38958857280 is an apocalyptic number.

38958857280 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 38958857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83434976640).

38958857280 is an abundant number, since it is smaller than the sum of its proper divisors (127911096000).

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

38958857280 is a wasteful number, since it uses less digits than its factorization.

38958857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 38958857280 in words is "thirty-eight billion, nine hundred fifty-eight million, eight hundred fifty-seven thousand, two hundred eighty".