379990578240 has 2016 divisors, whose sum is σ = 1739750607360. Its totient is φ = 77773602816.

The previous prime is 379990578211. The next prime is 379990578271. The reversal of 379990578240 is 42875099973.

379990578240 is a `hidden beast` number, since 37 + 9 + 9 + 9 + 0 + 578 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×379990578240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3362748424 + ... + 3362748536.

Almost surely, 2^379990578240 is an apocalyptic number.

379990578240 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 379990578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869875303680).

379990578240 is an abundant number, since it is smaller than the sum of its proper divisors (1359760029120).

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

379990578240 is a wasteful number, since it uses less digits than its factorization.

379990578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 379990578240 in words is "three hundred seventy-nine billion, nine hundred ninety million, five hundred seventy-eight thousand, two hundred forty".