3475977540 has 192 divisors, whose sum is σ = 11517424128. Its totient is φ = 766771200.

The previous prime is 3475977509. The next prime is 3475977611. The reversal of 3475977540 is 457795743.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1669300 + ... + 1671380.

It is an arithmetic number, because the mean of its divisors is an integer number (59986584).

Almost surely, 2^3475977540 is an apocalyptic number.

3475977540 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 3475977540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758712064).

3475977540 is an abundant number, since it is smaller than the sum of its proper divisors (8041446588).

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

3475977540 is a wasteful number, since it uses less digits than its factorization.

3475977540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The square root of 3475977540 is about 58957.4214157980. The cubic root of 3475977540 is about 1514.8128732269.

The spelling of 3475977540 in words is "three billion, four hundred seventy-five million, nine hundred seventy-seven thousand, five hundred forty".