3392426400 has 576 divisors, whose sum is σ = 12995168256. Its totient is φ = 760320000.

The previous prime is 3392426341. The next prime is 3392426407. The reversal of 3392426400 is 46242933.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3392426407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22466325 + ... + 22466475.

It is an arithmetic number, because the mean of its divisors is an integer number (22561056).

Almost surely, 2^3392426400 is an apocalyptic number.

3392426400 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 3392426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497584128).

3392426400 is an abundant number, since it is smaller than the sum of its proper divisors (9602741856).

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

3392426400 is a wasteful number, since it uses less digits than its factorization.

3392426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3392426400 is about 58244.5396582375. The cubic root of 3392426400 is about 1502.5772581796.

The spelling of 3392426400 in words is "three billion, three hundred ninety-two million, four hundred twenty-six thousand, four hundred".