340492492800 has 1008 divisors, whose sum is σ = 1293004028160. Its totient is φ = 85524480000.

The previous prime is 340492492799. The next prime is 340492492801. The reversal of 340492492800 is 8294294043.

It is a happy number.

340492492800 is a `hidden beast` number, since 3 + 40 + 49 + 2 + 492 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (340492492799) and next prime (340492492801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340492492801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3371212750 + ... + 3371212850.

Almost surely, 2^340492492800 is an apocalyptic number.

340492492800 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 340492492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646502014080).

340492492800 is an abundant number, since it is smaller than the sum of its proper divisors (952511535360).

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

340492492800 is a wasteful number, since it uses less digits than its factorization.

340492492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 340492492800 in words is "three hundred forty billion, four hundred ninety-two million, four hundred ninety-two thousand, eight hundred".