3428763520 has 256 divisors, whose sum is σ = 10197290880. Its totient is φ = 1073479680.

The previous prime is 3428763509. The next prime is 3428763521. The reversal of 3428763520 is 253678243.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428763521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6580860 + ... + 6581380.

Almost surely, 2^3428763520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098645440).

3428763520 is an abundant number, since it is smaller than the sum of its proper divisors (6768527360).

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

3428763520 is a wasteful number, since it uses less digits than its factorization.

3428763520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 3428763520 is about 58555.6446467802. The cubic root of 3428763520 is about 1507.9230425071.

The spelling of 3428763520 in words is "three billion, four hundred twenty-eight million, seven hundred sixty-three thousand, five hundred twenty".