3542300400 has 120 divisors (see below), whose sum is σ = 11362848624. Its totient is φ = 943308800.

The previous prime is 3542300341. The next prime is 3542300401. The reversal of 3542300400 is 40032453.

It is a happy number.

3542300400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×3542300400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542300401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127632 + ... + 1130768.

Almost surely, 2^3542300400 is an apocalyptic number.

3542300400 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 3542300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681424312).

3542300400 is an abundant number, since it is smaller than the sum of its proper divisors (7820548224).

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

3542300400 is a wasteful number, since it uses less digits than its factorization.

3542300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3542300400 is about 59517.2277580198. The cubic root of 3542300400 is about 1524.3866242378.

Adding to 3542300400 its reverse (40032453), we get a palindrome (3582332853).

The spelling of 3542300400 in words is "three billion, five hundred forty-two million, three hundred thousand, four hundred".