31484006400 has 780 divisors, whose sum is σ = 130860726560. Its totient is φ = 6542131200.

The previous prime is 31484006383. The next prime is 31484006417. The reversal of 31484006400 is 460048413.

It is an interprime number because it is at equal distance from previous prime (31484006383) and next prime (31484006417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2862182395 + ... + 2862182405.

Almost surely, 2^31484006400 is an apocalyptic number.

31484006400 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 31484006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65430363280).

31484006400 is an abundant number, since it is smaller than the sum of its proper divisors (99376720160).

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

31484006400 is an frugal number, since it uses more digits than its factorization.

31484006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 31484006400 in words is "thirty-one billion, four hundred eighty-four million, six thousand, four hundred".