387879399754560 has 4032 divisors, whose sum is σ = 1793287091681280. Its totient is φ = 76169824174080.

The previous prime is 387879399754547. The next prime is 387879399754573. The reversal of 387879399754560 is 65457993978783.

It is a happy number.

387879399754560 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 7 + 9 + 39 + 9 + 7 + 5 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (387879399754547) and next prime (387879399754573).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 442279816842 + ... + 442279817718.

Almost surely, 2^{387879399754560} is an apocalyptic number.

387879399754560 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 387879399754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896643545840640).

387879399754560 is an abundant number, since it is smaller than the sum of its proper divisors (1405407691926720).

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

387879399754560 is a wasteful number, since it uses less digits than its factorization.

387879399754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 86416243200, while the sum is 90.

The spelling of 387879399754560 in words is "three hundred eighty-seven trillion, eight hundred seventy-nine billion, three hundred ninety-nine million, seven hundred fifty-four thousand, five hundred sixty".