37878408000 has 448 divisors, whose sum is σ = 143787571200. Its totient is φ = 9750988800.

The previous prime is 37878407989. The next prime is 37878408031. The reversal of 37878408000 is 80487873.

It is a super-2 number, since 2×37878408000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6260977 + ... + 6267023.

It is an arithmetic number, because the mean of its divisors is an integer number (320954400).

Almost surely, 2^37878408000 is an apocalyptic number.

37878408000 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 37878408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71893785600).

37878408000 is an abundant number, since it is smaller than the sum of its proper divisors (105909163200).

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

37878408000 is a wasteful number, since it uses less digits than its factorization.

37878408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 37878408000 in words is "thirty-seven billion, eight hundred seventy-eight million, four hundred eight thousand".