3411964248 has 256 divisors, whose sum is σ = 10972938240. Its totient is φ = 858470400.

The previous prime is 3411964229. The next prime is 3411964267. The reversal of 3411964248 is 8424691143.

It is an interprime number because it is at equal distance from previous prime (3411964229) and next prime (3411964267).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14157408 + ... + 14157648.

It is an arithmetic number, because the mean of its divisors is an integer number (42863040).

Almost surely, 2^3411964248 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 3411964248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486469120).

3411964248 is an abundant number, since it is smaller than the sum of its proper divisors (7560973992).

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

3411964248 is a wasteful number, since it uses less digits than its factorization.

3411964248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3411964248 is about 58412.0214339480. The cubic root of 3411964248 is about 1505.4563132539.

The spelling of 3411964248 in words is "three billion, four hundred eleven million, nine hundred sixty-four thousand, two hundred forty-eight".