38202916371000 has 512 divisors, whose sum is σ = 129799867392000. Its totient is φ = 9319297536000.

The previous prime is 38202916370989. The next prime is 38202916371071. The reversal of 38202916371000 is 17361920283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 807495346 + ... + 807542654.

It is an arithmetic number, because the mean of its divisors is an integer number (253515366000).

Almost surely, 2^{38202916371000} is an apocalyptic number.

38202916371000 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 38202916371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64899933696000).

38202916371000 is an abundant number, since it is smaller than the sum of its proper divisors (91596951021000).

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

38202916371000 is a wasteful number, since it uses less digits than its factorization.

38202916371000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47840 (or 47826 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 38202916371000 in words is "thirty-eight trillion, two hundred two billion, nine hundred sixteen million, three hundred seventy-one thousand".