3428634960 has 160 divisors (see below), whose sum is σ = 12061370880. Its totient is φ = 894822912.

The previous prime is 3428634931. The next prime is 3428634973. The reversal of 3428634960 is 694368243.

3428634960 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 634 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84634 + ... + 118406.

It is an arithmetic number, because the mean of its divisors is an integer number (75383568).

Almost surely, 2^3428634960 is an apocalyptic number.

3428634960 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 3428634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030685440).

3428634960 is an abundant number, since it is smaller than the sum of its proper divisors (8632735920).

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

3428634960 is a wasteful number, since it uses less digits than its factorization.

3428634960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33842 (or 33830 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3428634960 is about 58554.5468772494. The cubic root of 3428634960 is about 1507.9041959648.

The spelling of 3428634960 in words is "three billion, four hundred twenty-eight million, six hundred thirty-four thousand, nine hundred sixty".