3428465040 has 960 divisors, whose sum is σ = 15910981632. Its totient is φ = 638668800.

The previous prime is 3428465039. The next prime is 3428465063. The reversal of 3428465040 is 405648243.

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 = 3428464986 and 3428465004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48288205 + ... + 48288275.

Almost surely, 2^3428465040 is an apocalyptic number.

3428465040 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 3428465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955490816).

3428465040 is an abundant number, since it is smaller than the sum of its proper divisors (12482516592).

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

3428465040 is a wasteful number, since it uses less digits than its factorization.

3428465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3428465040 is about 58553.0959044866. The cubic root of 3428465040 is about 1507.8792854376.

The spelling of 3428465040 in words is "three billion, four hundred twenty-eight million, four hundred sixty-five thousand, forty".