3229745400 has 480 divisors, whose sum is σ = 13503600000. Its totient is φ = 698906880.

The previous prime is 3229745371. The next prime is 3229745411. The reversal of 3229745400 is 45479223.

3229745400 is a `hidden beast` number, since 3 + 22 + 97 + 4 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2153851 + ... + 2155349.

It is an arithmetic number, because the mean of its divisors is an integer number (28132500).

Almost surely, 2^3229745400 is an apocalyptic number.

3229745400 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 3229745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751800000).

3229745400 is an abundant number, since it is smaller than the sum of its proper divisors (10273854600).

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

3229745400 is a wasteful number, since it uses less digits than its factorization.

3229745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3229745400 is about 56830.8490170611. The cubic root of 3229745400 is about 1478.1644824798.

The spelling of 3229745400 in words is "three billion, two hundred twenty-nine million, seven hundred forty-five thousand, four hundred".