3149702400 has 216 divisors, whose sum is σ = 11195151520. Its totient is φ = 775249920.

The previous prime is 3149702377. The next prime is 3149702401. The reversal of 3149702400 is 42079413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149702401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243291 + ... + 255909.

Almost surely, 2^3149702400 is an apocalyptic number.

3149702400 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 3149702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597575760).

3149702400 is an abundant number, since it is smaller than the sum of its proper divisors (8045449120).

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

3149702400 is a wasteful number, since it uses less digits than its factorization.

3149702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3149702400 is about 56122.2095074668. The cubic root of 3149702400 is about 1465.8510432964.

The spelling of 3149702400 in words is "three billion, one hundred forty-nine million, seven hundred two thousand, four hundred".