380986580700 has 1152 divisors, whose sum is σ = 1503903744000. Its totient is φ = 81648000000.

The previous prime is 380986580651. The next prime is 380986580701. The reversal of 380986580700 is 7085689083.

It is a happy number.

It is a super-2 number, since 2×380986580700² (a number of 24 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 not an unprimeable number, because it can be changed into a prime (380986580701) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 507305325 + ... + 507306075.

It is an arithmetic number, because the mean of its divisors is an integer number (1305472000).

Almost surely, 2^380986580700 is an apocalyptic number.

380986580700 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 380986580700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751951872000).

380986580700 is an abundant number, since it is smaller than the sum of its proper divisors (1122917163300).

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

380986580700 is a wasteful number, since it uses less digits than its factorization.

380986580700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 380986580700 in words is "three hundred eighty billion, nine hundred eighty-six million, five hundred eighty thousand, seven hundred".