370481760 has 288 divisors, whose sum is σ = 1452971520. Its totient is φ = 85017600.

The previous prime is 370481759. The next prime is 370481801. The reversal of 370481760 is 67184073.

370481760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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, 300345 + ... + 301575.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^370481760 is an apocalyptic number.

370481760 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 370481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

370481760 is an abundant number, since it is smaller than the sum of its proper divisors (1082489760).

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

370481760 is a wasteful number, since it uses less digits than its factorization.

370481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 370481760 is about 19247.9027428964. The cubic root of 370481760 is about 718.2168839657.

The spelling of 370481760 in words is "three hundred seventy million, four hundred eighty-one thousand, seven hundred sixty".