37849006080 has 720 divisors, whose sum is σ = 146162548224. Its totient is φ = 9342812160.

The previous prime is 37849006073. The next prime is 37849006121. The reversal of 37849006080 is 8060094873.

It is a happy number.

37849006080 is a `hidden beast` number, since 37 + 8 + 4 + 9 + 0 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×37849006080² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1220935665 + ... + 1220935695.

Almost surely, 2^37849006080 is an apocalyptic number.

37849006080 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 37849006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73081274112).

37849006080 is an abundant number, since it is smaller than the sum of its proper divisors (108313542144).

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

37849006080 is an frugal number, since it uses more digits than its factorization.

37849006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 37849006080 in words is "thirty-seven billion, eight hundred forty-nine million, six thousand, eighty".