3388749600 has 72 divisors (see below), whose sum is σ = 11030387760. Its totient is φ = 903665920.

The previous prime is 3388749569. The next prime is 3388749607. The reversal of 3388749600 is 69478833.

3388749600 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 2×3388749600² = 22967247703000320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3388749600.

It is not an unprimeable number, because it can be changed into a prime (3388749607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703590 + ... + 708389.

It is an arithmetic number, because the mean of its divisors is an integer number (153199830).

Almost surely, 2^3388749600 is an apocalyptic number.

3388749600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3388749600 is an abundant number, since it is smaller than the sum of its proper divisors (7641638160).

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

3388749600 is a wasteful number, since it uses less digits than its factorization.

3388749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412002 (or 1411989 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3388749600 is about 58212.9676274969. The cubic root of 3388749600 is about 1502.0342178359.

The spelling of 3388749600 in words is "three billion, three hundred eighty-eight million, seven hundred forty-nine thousand, six hundred".