3405542400 has 528 divisors, whose sum is σ = 13503649600. Its totient is φ = 836075520.

The previous prime is 3405542383. The next prime is 3405542407. The reversal of 3405542400 is 42455043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405542407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985411 + ... + 8985789.

Almost surely, 2^3405542400 is an apocalyptic number.

3405542400 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 3405542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751824800).

3405542400 is an abundant number, since it is smaller than the sum of its proper divisors (10098107200).

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

3405542400 is a wasteful number, since it uses less digits than its factorization.

3405542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3405542400 is about 58357.0252840221. The cubic root of 3405542400 is about 1504.5112190009.

Adding to 3405542400 its reverse (42455043), we get a palindrome (3447997443).

The spelling of 3405542400 in words is "three billion, four hundred five million, five hundred forty-two thousand, four hundred".