398385021762 has 192 divisors, whose sum is σ = 1108096254720. Its totient is φ = 104459238144.

The previous prime is 398385021761. The next prime is 398385021763. The reversal of 398385021762 is 267120583893.

398385021762 is a `hidden beast` number, since 3 + 98 + 38 + 502 + 17 + 6 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (398385021761) and next prime (398385021763).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 398385021699 and 398385021708.

It is not an unprimeable number, because it can be changed into a prime (398385021761) 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, 7625064 + ... + 7677132.

It is an arithmetic number, because the mean of its divisors is an integer number (5771334660).

Almost surely, 2^398385021762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398385021762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554048127360).

398385021762 is an abundant number, since it is smaller than the sum of its proper divisors (709711232958).

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

398385021762 is a wasteful number, since it uses less digits than its factorization.

398385021762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52279 (or 52267 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 398385021762 in words is "three hundred ninety-eight billion, three hundred eighty-five million, twenty-one thousand, seven hundred sixty-two".