381020640 has 576 divisors, whose sum is σ = 1646894592. Its totient is φ = 71884800.

The previous prime is 381020621. The next prime is 381020641. The reversal of 381020640 is 46020183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 381020640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381020641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6246210 + ... + 6246270.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192).

Almost surely, 2^381020640 is an apocalyptic number.

381020640 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 381020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823447296).

381020640 is an abundant number, since it is smaller than the sum of its proper divisors (1265873952).

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

381020640 is a wasteful number, since it uses less digits than its factorization.

381020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 381020640 is about 19519.7499983991. The cubic root of 381020640 is about 724.9635431529.

The spelling of 381020640 in words is "three hundred eighty-one million, twenty thousand, six hundred forty".