387358035456 has 320 divisors, whose sum is σ = 1244963174400. Its totient is φ = 104551243776.

The previous prime is 387358035431. The next prime is 387358035457. The reversal of 387358035456 is 654530853783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 387358035396 and 387358035405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387358035457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77422651 + ... + 77427653.

It is an arithmetic number, because the mean of its divisors is an integer number (3890509920).

Almost surely, 2^387358035456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387358035456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622481587200).

387358035456 is an abundant number, since it is smaller than the sum of its proper divisors (857605138944).

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

387358035456 is a wasteful number, since it uses less digits than its factorization.

387358035456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 387358035456 in words is "three hundred eighty-seven billion, three hundred fifty-eight million, thirty-five thousand, four hundred fifty-six".