340102963200 has 2016 divisors, whose sum is σ = 1556285391360. Its totient is φ = 64408780800.

The previous prime is 340102963181. The next prime is 340102963231. The reversal of 340102963200 is 2369201043.

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 143 ways as a sum of consecutive naturals, for example, 4305100761 + ... + 4305100839.

It is an arithmetic number, because the mean of its divisors is an integer number (771966960).

Almost surely, 2^340102963200 is an apocalyptic number.

340102963200 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 340102963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778142695680).

340102963200 is an abundant number, since it is smaller than the sum of its proper divisors (1216182428160).

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

340102963200 is a wasteful number, since it uses less digits than its factorization.

340102963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 340102963200 in words is "three hundred forty billion, one hundred two million, nine hundred sixty-three thousand, two hundred".