37538490458880 has 288 divisors, whose sum is σ = 133740250398720. Its totient is φ = 9970380288000.

The previous prime is 37538490458849. The next prime is 37538490458939. The reversal of 37538490458880 is 8885409483573.

37538490458880 is a `hidden beast` number, since 3 + 7 + 5 + 3 + 8 + 4 + 90 + 458 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 37538490458799 and 37538490458808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6510849 + ... + 10838271.

It is an arithmetic number, because the mean of its divisors is an integer number (464375869440).

Almost surely, 2^{37538490458880} is an apocalyptic number.

37538490458880 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 37538490458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66870125199360).

37538490458880 is an abundant number, since it is smaller than the sum of its proper divisors (96201759939840).

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

37538490458880 is a wasteful number, since it uses less digits than its factorization.

37538490458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327704 (or 4327684 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 37538490458880 in words is "thirty-seven trillion, five hundred thirty-eight billion, four hundred ninety million, four hundred fifty-eight thousand, eight hundred eighty".