3373749600 has 288 divisors, whose sum is σ = 12000731904. Its totient is φ = 818227200.

The previous prime is 3373749571. The next prime is 3373749619. The reversal of 3373749600 is 69473733.

It is a super-2 number, since 2×3373749600² = 22764372727000320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214439 + ... + 2215961.

It is an arithmetic number, because the mean of its divisors is an integer number (41669208).

Almost surely, 2^3373749600 is an apocalyptic number.

3373749600 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 3373749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000365952).

3373749600 is an abundant number, since it is smaller than the sum of its proper divisors (8626982304).

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

3373749600 is a wasteful number, since it uses less digits than its factorization.

3373749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The square root of 3373749600 is about 58083.9874664266. The cubic root of 3373749600 is about 1499.8147326738.

The spelling of 3373749600 in words is "three billion, three hundred seventy-three million, seven hundred forty-nine thousand, six hundred".