3545414400 has 216 divisors, whose sum is σ = 12765057984. Its totient is φ = 859443200.

The previous prime is 3545414387. The next prime is 3545414429. The reversal of 3545414400 is 44145453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202807 + ... + 219593.

Almost surely, 2^3545414400 is an apocalyptic number.

3545414400 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 3545414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382528992).

3545414400 is an abundant number, since it is smaller than the sum of its proper divisors (9219643584).

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

3545414400 is a wasteful number, since it uses less digits than its factorization.

3545414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16827 (or 16808 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3545414400 is about 59543.3825038518. The cubic root of 3545414400 is about 1524.8331842973.

Adding to 3545414400 its reverse (44145453), we get a palindrome (3589559853).

The spelling of 3545414400 in words is "three billion, five hundred forty-five million, four hundred fourteen thousand, four hundred".