38483907840 has 576 divisors, whose sum is σ = 156916408320. Its totient is φ = 8748933120.

The previous prime is 38483907823. The next prime is 38483907853. The reversal of 38483907840 is 4870938483.

38483907840 is a `hidden beast` number, since 3 + 8 + 483 + 90 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×38483907840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 65560027 + ... + 65560613.

It is an arithmetic number, because the mean of its divisors is an integer number (272424320).

Almost surely, 2^38483907840 is an apocalyptic number.

38483907840 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 38483907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78458204160).

38483907840 is an abundant number, since it is smaller than the sum of its proper divisors (118432500480).

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

38483907840 is a wasteful number, since it uses less digits than its factorization.

38483907840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38483907840 in words is "thirty-eight billion, four hundred eighty-three million, nine hundred seven thousand, eight hundred forty".