38619060480 has 1728 divisors, whose sum is σ = 190920457728. Its totient is φ = 6936330240.

The previous prime is 38619060479. The next prime is 38619060509. The reversal of 38619060480 is 8406091683.

38619060480 is a `hidden beast` number, since 3 + 86 + 1 + 90 + 6 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196035742 + ... + 196035938.

It is an arithmetic number, because the mean of its divisors is an integer number (110486376).

Almost surely, 2^38619060480 is an apocalyptic number.

38619060480 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 38619060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95460228864).

38619060480 is an abundant number, since it is smaller than the sum of its proper divisors (152301397248).

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

38619060480 is a wasteful number, since it uses less digits than its factorization.

38619060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38619060480 in words is "thirty-eight billion, six hundred nineteen million, sixty thousand, four hundred eighty".