3411029664 has 192 divisors, whose sum is σ = 11499667200. Its totient is φ = 963477504.

The previous prime is 3411029647. The next prime is 3411029681. The reversal of 3411029664 is 4669201143.

It is an interprime number because it is at equal distance from previous prime (3411029647) and next prime (3411029681).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535104 + ... + 541440.

It is an arithmetic number, because the mean of its divisors is an integer number (59894100).

Almost surely, 2^3411029664 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 3411029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749833600).

3411029664 is an abundant number, since it is smaller than the sum of its proper divisors (8088637536).

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

3411029664 is a wasteful number, since it uses less digits than its factorization.

3411029664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3411029664 is about 58404.0209574649. The cubic root of 3411029664 is about 1505.3188456288.

The spelling of 3411029664 in words is "three billion, four hundred eleven million, twenty-nine thousand, six hundred sixty-four".