3503775398400 has 2880 divisors, whose sum is σ = 14920523025408. Its totient is φ = 809321103360.

The previous prime is 3503775398399. The next prime is 3503775398401. The reversal of 3503775398400 is 48935773053.

3503775398400 is a `hidden beast` number, since 3 + 50 + 37 + 75 + 3 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3503775398399) and next prime (3503775398401).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3503775398401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52295155167 + ... + 52295155233.

Almost surely, 2^{3503775398400} is an apocalyptic number.

3503775398400 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 3503775398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460261512704).

3503775398400 is an abundant number, since it is smaller than the sum of its proper divisors (11416747627008).

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

3503775398400 is a wasteful number, since it uses less digits than its factorization.

3503775398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 3503775398400 in words is "three trillion, five hundred three billion, seven hundred seventy-five million, three hundred ninety-eight thousand, four hundred".