37878283800 has 1152 divisors, whose sum is σ = 160989249600. Its totient is φ = 8151736320.

The previous prime is 37878283799. The next prime is 37878283811. The reversal of 37878283800 is 838287873.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 518880564 + ... + 518880636.

Almost surely, 2^37878283800 is an apocalyptic number.

37878283800 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 37878283800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80494624800).

37878283800 is an abundant number, since it is smaller than the sum of its proper divisors (123110965800).

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

37878283800 is a wasteful number, since it uses less digits than its factorization.

37878283800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 37878283800 in words is "thirty-seven billion, eight hundred seventy-eight million, two hundred eighty-three thousand, eight hundred".