2949350400 has 528 divisors, whose sum is σ = 11513638080. Its totient is φ = 737280000.

The previous prime is 2949350399. The next prime is 2949350423. The reversal of 2949350400 is 40539492.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11750275 + ... + 11750525.

Almost surely, 2^2949350400 is an apocalyptic number.

2949350400 is a gapful number since it is divisible by the number (20) 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 2949350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756819040).

2949350400 is an abundant number, since it is smaller than the sum of its proper divisors (8564287680).

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

2949350400 is a wasteful number, since it uses less digits than its factorization.

2949350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2949350400 is about 54307.9220740400. The cubic root of 2949350400 is about 1434.0868629654.

2949350400 divided by its sum of digits (36) gives a triangular number (81926400 = T₁₂₈₀₀).

Adding to 2949350400 its reverse (40539492), we get a palindrome (2989889892).

The spelling of 2949350400 in words is "two billion, nine hundred forty-nine million, three hundred fifty thousand, four hundred".