3372142800 has 480 divisors, whose sum is σ = 12674744320. Its totient is φ = 758937600.

The previous prime is 3372142757. The next prime is 3372142847. The reversal of 3372142800 is 82412733.

3372142800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3372142800² = 22742694127183680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9188217 + ... + 9188583.

Almost surely, 2^3372142800 is an apocalyptic number.

3372142800 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 3372142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337372160).

3372142800 is an abundant number, since it is smaller than the sum of its proper divisors (9302601520).

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

3372142800 is a wasteful number, since it uses less digits than its factorization.

3372142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3372142800 is about 58070.1541241282. The cubic root of 3372142800 is about 1499.5765916059.

The spelling of 3372142800 in words is "three billion, three hundred seventy-two million, one hundred forty-two thousand, eight hundred".