38779012046880 has 2304 divisors, whose sum is σ = 165684258432000. Its totient is φ = 8466658099200.

The previous prime is 38779012046861. The next prime is 38779012046891. The reversal of 38779012046880 is 8864021097783.

38779012046880 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 90 + 1 + 2 + 0 + 468 + 80 = 666.

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 383 ways as a sum of consecutive naturals, for example, 160908763560 + ... + 160908763800.

It is an arithmetic number, because the mean of its divisors is an integer number (71911570500).

Almost surely, 2^{38779012046880} is an apocalyptic number.

38779012046880 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 38779012046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82842129216000).

38779012046880 is an abundant number, since it is smaller than the sum of its proper divisors (126905246385120).

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

38779012046880 is a wasteful number, since it uses less digits than its factorization.

38779012046880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 38779012046880 in words is "thirty-eight trillion, seven hundred seventy-nine billion, twelve million, forty-six thousand, eight hundred eighty".