37898952000 has 1344 divisors, whose sum is σ = 163411911936. Its totient is φ = 7664025600.

The previous prime is 37898951953. The next prime is 37898952001. The reversal of 37898952000 is 25989873.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37898952001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 565655967 + ... + 565656033.

It is an arithmetic number, because the mean of its divisors is an integer number (121586244).

Almost surely, 2^37898952000 is an apocalyptic number.

37898952000 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 37898952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81705955968).

37898952000 is an abundant number, since it is smaller than the sum of its proper divisors (125512959936).

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

37898952000 is a wasteful number, since it uses less digits than its factorization.

37898952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 37898952000 in words is "thirty-seven billion, eight hundred ninety-eight million, nine hundred fifty-two thousand".