39380100480 has 960 divisors, whose sum is σ = 168416463600. Its totient is φ = 8736989184.

The previous prime is 39380100469. The next prime is 39380100481. The reversal of 39380100480 is 8400108393.

39380100480 is a `hidden beast` number, since 3 + 93 + 80 + 10 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39380100481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93985711 + ... + 93986129.

Almost surely, 2^39380100480 is an apocalyptic number.

39380100480 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 39380100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84208231800).

39380100480 is an abundant number, since it is smaller than the sum of its proper divisors (129036363120).

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

39380100480 is a wasteful number, since it uses less digits than its factorization.

39380100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 39380100480 in words is "thirty-nine billion, three hundred eighty million, one hundred thousand, four hundred eighty".