3428987040 has 192 divisors, whose sum is σ = 12707694720. Its totient is φ = 860590080.

The previous prime is 3428987033. The next prime is 3428987041. The reversal of 3428987040 is 407898243.

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

It is not an unprimeable number, because it can be changed into a prime (3428987041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50095 + ... + 96785.

It is an arithmetic number, because the mean of its divisors is an integer number (66185910).

Almost surely, 2^3428987040 is an apocalyptic number.

3428987040 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 3428987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353847360).

3428987040 is an abundant number, since it is smaller than the sum of its proper divisors (9278707680).

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

3428987040 is a wasteful number, since it uses less digits than its factorization.

3428987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46732 (or 46718 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3428987040 is about 58557.5532275726. The cubic root of 3428987040 is about 1507.9558088024.

The spelling of 3428987040 in words is "three billion, four hundred twenty-eight million, nine hundred eighty-seven thousand, forty".