377585952 has 96 divisors (see below), whose sum is σ = 1038127104. Its totient is φ = 120019200.

The previous prime is 377585947. The next prime is 377585953. The reversal of 377585952 is 259585773.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×377585952² = 285142302295492608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 377585895 and 377585904.

It is not an unprimeable number, because it can be changed into a prime (377585953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210403 + ... + 212189.

It is an arithmetic number, because the mean of its divisors is an integer number (10813824).

Almost surely, 2^377585952 is an apocalyptic number.

377585952 is a gapful number since it is divisible by the number (32) 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 377585952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519063552).

377585952 is an abundant number, since it is smaller than the sum of its proper divisors (660541152).

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

377585952 is a wasteful number, since it uses less digits than its factorization.

377585952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 51.

The square root of 377585952 is about 19431.5710121441. The cubic root of 377585952 is about 722.7785842350.

The spelling of 377585952 in words is "three hundred seventy-seven million, five hundred eighty-five thousand, nine hundred fifty-two".