38245239767040 has 480 divisors, whose sum is σ = 132978195517440. Its totient is φ = 9350243942400.

The previous prime is 38245239767027. The next prime is 38245239767057. The reversal of 38245239767040 is 4076793254283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×38245239767040³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144620535 + ... + 144884745.

It is an arithmetic number, because the mean of its divisors is an integer number (277037907328).

Almost surely, 2^{38245239767040} is an apocalyptic number.

38245239767040 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 38245239767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66489097758720).

38245239767040 is an abundant number, since it is smaller than the sum of its proper divisors (94732955750400).

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

38245239767040 is a wasteful number, since it uses less digits than its factorization.

38245239767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264297 (or 264271 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 38245239767040 in words is "thirty-eight trillion, two hundred forty-five billion, two hundred thirty-nine million, seven hundred sixty-seven thousand, forty".