398634867072 has 768 divisors, whose sum is σ = 1329711102720. Its totient is φ = 118095667200.

The previous prime is 398634867047. The next prime is 398634867079. The reversal of 398634867072 is 270768436893.

398634867072 is a `hidden beast` number, since 3 + 9 + 86 + 3 + 486 + 7 + 0 + 72 = 666.

It is a super-2 number, since 2×398634867072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398634867079) 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, 1756100623 + ... + 1756100849.

It is an arithmetic number, because the mean of its divisors is an integer number (1731394665).

Almost surely, 2^398634867072 is an apocalyptic number.

398634867072 is a gapful number since it is divisible by the number (32) 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 398634867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664855551360).

398634867072 is an abundant number, since it is smaller than the sum of its proper divisors (931076235648).

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

398634867072 is a wasteful number, since it uses less digits than its factorization.

398634867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 398634867072 in words is "three hundred ninety-eight billion, six hundred thirty-four million, eight hundred sixty-seven thousand, seventy-two".