3429260640 has 288 divisors, whose sum is σ = 12945756096. Its totient is φ = 821145600.

The previous prime is 3429260617. The next prime is 3429260683. The reversal of 3429260640 is 460629243.

3429260640 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 2 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3429260595 and 3429260604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690165 + ... + 695115.

It is an arithmetic number, because the mean of its divisors is an integer number (44950542).

Almost surely, 2^3429260640 is an apocalyptic number.

3429260640 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 3429260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472878048).

3429260640 is an abundant number, since it is smaller than the sum of its proper divisors (9516495456).

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

3429260640 is a wasteful number, since it uses less digits than its factorization.

3429260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3429260640 is about 58559.8893441577. The cubic root of 3429260640 is about 1507.9959144985.

Adding to 3429260640 its reverse (460629243), we get a palindrome (3889889883).

The spelling of 3429260640 in words is "three billion, four hundred twenty-nine million, two hundred sixty thousand, six hundred forty".