377408304000 has 1536 divisors, whose sum is σ = 1693108085760. Its totient is φ = 78442905600.

The previous prime is 377408303897. The next prime is 377408304011. The reversal of 377408304000 is 403804773.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1087631827 + ... + 1087632173.

It is an arithmetic number, because the mean of its divisors is an integer number (1102283910).

Almost surely, 2^377408304000 is an apocalyptic number.

377408304000 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 377408304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846554042880).

377408304000 is an abundant number, since it is smaller than the sum of its proper divisors (1315699781760).

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

377408304000 is a wasteful number, since it uses less digits than its factorization.

377408304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 377408304000 in words is "three hundred seventy-seven billion, four hundred eight million, three hundred four thousand".