38295620700480 has 1344 divisors, whose sum is σ = 163484348509440. Its totient is φ = 8360489779200.

The previous prime is 38295620700451. The next prime is 38295620700509. The reversal of 38295620700480 is 8400702659283.

38295620700480 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 5 + 620 + 7 + 0 + 0 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38295620700451) and next prime (38295620700509).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 658503084 + ... + 658561236.

It is an arithmetic number, because the mean of its divisors is an integer number (121640140260).

Almost surely, 2^{38295620700480} is an apocalyptic number.

38295620700480 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 38295620700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81742174254720).

38295620700480 is an abundant number, since it is smaller than the sum of its proper divisors (125188727808960).

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

38295620700480 is a wasteful number, since it uses less digits than its factorization.

38295620700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58257 (or 58228 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38295620700480 in words is "thirty-eight trillion, two hundred ninety-five billion, six hundred twenty million, seven hundred thousand, four hundred eighty".