31678452000 has 1152 divisors, whose sum is σ = 132220408320. Its totient is φ = 7390310400.

The previous prime is 31678451971. The next prime is 31678452053. The reversal of 31678452000 is 25487613.

It is a super-2 number, since 2×31678452000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290627946 + ... + 290628054.

It is an arithmetic number, because the mean of its divisors is an integer number (114774660).

Almost surely, 2^31678452000 is an apocalyptic number.

31678452000 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 31678452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66110204160).

31678452000 is an abundant number, since it is smaller than the sum of its proper divisors (100541956320).

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

31678452000 is a wasteful number, since it uses less digits than its factorization.

31678452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 31678452000 in words is "thirty-one billion, six hundred seventy-eight million, four hundred fifty-two thousand".