3552854400 has 336 divisors, whose sum is σ = 13167611460. Its totient is φ = 946805760.

The previous prime is 3552854381. The next prime is 3552854423. The reversal of 3552854400 is 44582553.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2332039 + ... + 2333561.

Almost surely, 2^3552854400 is an apocalyptic number.

3552854400 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 3552854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583805730).

3552854400 is an abundant number, since it is smaller than the sum of its proper divisors (9614757060).

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

3552854400 is an equidigital number, since it uses as much as digits as its factorization.

3552854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 3552854400 is about 59605.8252186814. The cubic root of 3552854400 is about 1525.8990524157.

The spelling of 3552854400 in words is "three billion, five hundred fifty-two million, eight hundred fifty-four thousand, four hundred".