3293030400 has 288 divisors, whose sum is σ = 11882052000. Its totient is φ = 797900800.

The previous prime is 3293030327. The next prime is 3293030431. The reversal of 3293030400 is 40303923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688626 + ... + 1690574.

It is an arithmetic number, because the mean of its divisors is an integer number (41257125).

Almost surely, 2^3293030400 is an apocalyptic number.

3293030400 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 3293030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941026000).

3293030400 is an abundant number, since it is smaller than the sum of its proper divisors (8589021600).

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

3293030400 is a wasteful number, since it uses less digits than its factorization.

3293030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3293030400 is about 57384.9318201216. The cubic root of 3293030400 is about 1487.7566951017.

The spelling of 3293030400 in words is "three billion, two hundred ninety-three million, thirty thousand, four hundred".