371479680 has 576 divisors, whose sum is σ = 1555477560. Its totient is φ = 81100800.

The previous prime is 371479679. The next prime is 371479723. The reversal of 371479680 is 86974173.

It can be written as a sum of positive squares in 4 ways, for example, as 128867904 + 242611776 = 11352^2 + 15576^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9060460 + ... + 9060500.

Almost surely, 2^371479680 is an apocalyptic number.

371479680 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 371479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777738780).

371479680 is an abundant number, since it is smaller than the sum of its proper divisors (1183997880).

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

371479680 is a wasteful number, since it uses less digits than its factorization.

371479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 371479680 is about 19273.8081343568. The cubic root of 371479680 is about 718.8611625924.

The spelling of 371479680 in words is "three hundred seventy-one million, four hundred seventy-nine thousand, six hundred eighty".