3545318400 has 528 divisors, whose sum is σ = 13048789824. Its totient is φ = 843448320.

The previous prime is 3545318389. The next prime is 3545318423. The reversal of 3545318400 is 48135453.

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, 52915167 + ... + 52915233.

Almost surely, 2^3545318400 is an apocalyptic number.

3545318400 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 3545318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524394912).

3545318400 is an abundant number, since it is smaller than the sum of its proper divisors (9503471424).

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

3545318400 is a wasteful number, since it uses less digits than its factorization.

3545318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3545318400 is about 59542.5763634729. The cubic root of 3545318400 is about 1524.8194214203.

The spelling of 3545318400 in words is "three billion, five hundred forty-five million, three hundred eighteen thousand, four hundred".