37820498631336 has 384 divisors, whose sum is σ = 118423472688000. Its totient is φ = 11114304233472.

The previous prime is 37820498631323. The next prime is 37820498631343. The reversal of 37820498631336 is 63313689402873.

37820498631336 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 0 + 498 + 6 + 3 + 133 + 6 = 666.

It is a super-3 number, since 3×37820498631336³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 552598110 + ... + 552666546.

It is an arithmetic number, because the mean of its divisors is an integer number (308394460125).

Almost surely, 2^{37820498631336} is an apocalyptic number.

37820498631336 is a gapful number since it is divisible by the number (36) 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 37820498631336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59211736344000).

37820498631336 is an abundant number, since it is smaller than the sum of its proper divisors (80602974056664).

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

37820498631336 is a wasteful number, since it uses less digits than its factorization.

37820498631336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68666 (or 68567 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 37820498631336 in words is "thirty-seven trillion, eight hundred twenty billion, four hundred ninety-eight million, six hundred thirty-one thousand, three hundred thirty-six".