377900328960 has 1920 divisors, whose sum is σ = 1734121509120. Its totient is φ = 76441190400.

The previous prime is 377900328959. The next prime is 377900328991. The reversal of 377900328960 is 69823009773.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 377900328897 and 377900328906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3895879632 + ... + 3895879728.

It is an arithmetic number, because the mean of its divisors is an integer number (903188286).

Almost surely, 2^377900328960 is an apocalyptic number.

377900328960 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 377900328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867060754560).

377900328960 is an abundant number, since it is smaller than the sum of its proper divisors (1356221180160).

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

377900328960 is a wasteful number, since it uses less digits than its factorization.

377900328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 377900328960 in words is "three hundred seventy-seven billion, nine hundred million, three hundred twenty-eight thousand, nine hundred sixty".