370027680 has 288 divisors, whose sum is σ = 1341712512. Its totient is φ = 85493760.

The previous prime is 370027673. The next prime is 370027681. The reversal of 370027680 is 86720073.

370027680 = T₃₂₁ + T₃₂₂ + ... + T₁₃₁₀.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370027681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335702 + ... + 1335978.

It is an arithmetic number, because the mean of its divisors is an integer number (4658724).

Almost surely, 2^370027680 is an apocalyptic number.

370027680 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 370027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670856256).

370027680 is an abundant number, since it is smaller than the sum of its proper divisors (971684832).

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

370027680 is a wasteful number, since it uses less digits than its factorization.

370027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 370027680 is about 19236.1035555541. The cubic root of 370027680 is about 717.9233371230.

The spelling of 370027680 in words is "three hundred seventy million, twenty-seven thousand, six hundred eighty".