3387542400 has 864 divisors, whose sum is σ = 14386277880. Its totient is φ = 752025600.

The previous prime is 3387542393. The next prime is 3387542401. The reversal of 3387542400 is 42457833.

It is a happy number.

3387542400 is a `hidden beast` number, since 33 + 87 + 542 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×3387542400² = 22950887023595520000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387542401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 91555182 + ... + 91555218.

Almost surely, 2^3387542400 is an apocalyptic number.

3387542400 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 3387542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193138940).

3387542400 is an abundant number, since it is smaller than the sum of its proper divisors (10998735480).

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

3387542400 is a wasteful number, since it uses less digits than its factorization.

3387542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3387542400 is about 58202.5978801634. The cubic root of 3387542400 is about 1501.8558363008.

The spelling of 3387542400 in words is "three billion, three hundred eighty-seven million, five hundred forty-two thousand, four hundred".