3345742400 has 336 divisors, whose sum is σ = 11058875520. Its totient is φ = 962150400.

The previous prime is 3345742391. The next prime is 3345742451. The reversal of 3345742400 is 42475433.

It is a super-2 number, since 2×3345742400² = 22387984414315520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600556 + ... + 1602644.

It is an arithmetic number, because the mean of its divisors is an integer number (32913320).

Almost surely, 2^3345742400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529437760).

3345742400 is an abundant number, since it is smaller than the sum of its proper divisors (7713133120).

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

3345742400 is a wasteful number, since it uses less digits than its factorization.

3345742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 3345742400 is about 57842.3927582530. The cubic root of 3345742400 is about 1495.6529550438.

It can be divided in two parts, 33457 and 42400, that added together give a palindrome (75857).

The spelling of 3345742400 in words is "three billion, three hundred forty-five million, seven hundred forty-two thousand, four hundred".