363434903040 has 480 divisors, whose sum is σ = 1288755201888. Its totient is φ = 87300505600.

The previous prime is 363434903033. The next prime is 363434903059. The reversal of 363434903040 is 40309434363.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 363434903040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105006910 + ... + 105010370.

Almost surely, 2^363434903040 is an apocalyptic number.

363434903040 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 363434903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644377600944).

363434903040 is an abundant number, since it is smaller than the sum of its proper divisors (925320298848).

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

363434903040 is a wasteful number, since it uses less digits than its factorization.

363434903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 39.

The spelling of 363434903040 in words is "three hundred sixty-three billion, four hundred thirty-four million, nine hundred three thousand, forty".