38770010145360 has 2400 divisors, whose sum is σ = 162544868462592. Its totient is φ = 8499543736320.

The previous prime is 38770010145359. The next prime is 38770010145379. The reversal of 38770010145360 is 6354101007783.

38770010145360 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 0 + 0 + 101 + 4 + 536 + 0 = 666.

It is a super-2 number, since 2×38770010145360² (a number of 28 digits) contains 22 as substring.

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

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 479 ways as a sum of consecutive naturals, for example, 35471188974 + ... + 35471190066.

Almost surely, 2^{38770010145360} is an apocalyptic number.

38770010145360 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 38770010145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81272434231296).

38770010145360 is an abundant number, since it is smaller than the sum of its proper divisors (123774858317232).

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

38770010145360 is a wasteful number, since it uses less digits than its factorization.

38770010145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 38770010145360 in words is "thirty-eight trillion, seven hundred seventy billion, ten million, one hundred forty-five thousand, three hundred sixty".