3248953590 has 64 divisors (see below), whose sum is σ = 7953292800. Its totient is φ = 849164544.

The previous prime is 3248953567. The next prime is 3248953597. The reversal of 3248953590 is 953598423.

3248953590 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3248953597) 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, 632874 + ... + 637986.

It is an arithmetic number, because the mean of its divisors is an integer number (124270200).

Almost surely, 2^3248953590 is an apocalyptic number.

3248953590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3248953590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976646400).

3248953590 is an abundant number, since it is smaller than the sum of its proper divisors (4704339210).

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

3248953590 is a wasteful number, since it uses less digits than its factorization.

3248953590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 3248953590 is about 56999.5928932830. The cubic root of 3248953590 is about 1481.0890435230.

The spelling of 3248953590 in words is "three billion, two hundred forty-eight million, nine hundred fifty-three thousand, five hundred ninety".