3389126400 has 432 divisors, whose sum is σ = 13564965120. Its totient is φ = 821145600.

The previous prime is 3389126369. The next prime is 3389126401. The reversal of 3389126400 is 46219833.

3389126400 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3389126400² = 22972355510353920000, 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 (3389126401) 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, 1899909 + ... + 1901691.

Almost surely, 2^3389126400 is an apocalyptic number.

3389126400 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 3389126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782482560).

3389126400 is an abundant number, since it is smaller than the sum of its proper divisors (10175838720).

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

3389126400 is a wasteful number, since it uses less digits than its factorization.

3389126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3389126400 is about 58216.2039298338. The cubic root of 3389126400 is about 1502.0898868962.

The spelling of 3389126400 in words is "three billion, three hundred eighty-nine million, one hundred twenty-six thousand, four hundred".