38313623040 has 640 divisors, whose sum is σ = 155146641408. Its totient is φ = 7834337280.

The previous prime is 38313623021. The next prime is 38313623057. The reversal of 38313623040 is 4032631383.

38313623040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 38313622992 and 38313623010.

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, 39620637 + ... + 39621603.

Almost surely, 2^38313623040 is an apocalyptic number.

38313623040 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 38313623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77573320704).

38313623040 is an abundant number, since it is smaller than the sum of its proper divisors (116833018368).

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

38313623040 is a wasteful number, since it uses less digits than its factorization.

38313623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 38313623040 in words is "thirty-eight billion, three hundred thirteen million, six hundred twenty-three thousand, forty".