3503506406400 has 2376 divisors, whose sum is σ = 16982459809952. Its totient is φ = 671514624000.

The previous prime is 3503506406383. The next prime is 3503506406423. The reversal of 3503506406400 is 46046053053.

3503506406400 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 5 + 0 + 6 + 4 + 0 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 215 ways as a sum of consecutive naturals, for example, 2536933710 + ... + 2536935090.

Almost surely, 2^{3503506406400} is an apocalyptic number.

3503506406400 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 3503506406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491229904976).

3503506406400 is an abundant number, since it is smaller than the sum of its proper divisors (13478953403552).

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

3503506406400 is a wasteful number, since it uses less digits than its factorization.

3503506406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 3503506406400 in words is "three trillion, five hundred three billion, five hundred six million, four hundred six thousand, four hundred".