38003213340 has 192 divisors, whose sum is σ = 120504384000. Its totient is φ = 9940216320.

The previous prime is 38003213309. The next prime is 38003213351. The reversal of 38003213340 is 4331230083.

38003213340 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 321 + 334 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18191016 + ... + 18193104.

It is an arithmetic number, because the mean of its divisors is an integer number (627627000).

Almost surely, 2^38003213340 is an apocalyptic number.

38003213340 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 38003213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60252192000).

38003213340 is an abundant number, since it is smaller than the sum of its proper divisors (82501170660).

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

38003213340 is a wasteful number, since it uses less digits than its factorization.

38003213340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 38003213340 in words is "thirty-eight billion, three million, two hundred thirteen thousand, three hundred forty".