387208394496 has 1296 divisors, whose sum is σ = 1540204691200. Its totient is φ = 93665341440.

The previous prime is 387208394483. The next prime is 387208394567. The reversal of 387208394496 is 694493802783.

387208394496 is a `hidden beast` number, since 38 + 7 + 20 + 8 + 3 + 94 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6562854115 + ... + 6562854173.

Almost surely, 2^387208394496 is an apocalyptic number.

387208394496 is a gapful number since it is divisible by the number (36) 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 387208394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770102345600).

387208394496 is an abundant number, since it is smaller than the sum of its proper divisors (1152996296704).

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

387208394496 is a wasteful number, since it uses less digits than its factorization.

387208394496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

It can be divided in two parts, 38720 and 8394496, that added together give a square (8433216 = 2904²).

The spelling of 387208394496 in words is "three hundred eighty-seven billion, two hundred eight million, three hundred ninety-four thousand, four hundred ninety-six".