3487383900 has 864 divisors, whose sum is σ = 15165696000. Its totient is φ = 660441600.

The previous prime is 3487383877. The next prime is 3487383917. The reversal of 3487383900 is 93837843.

It is a happy number.

3487383900 is a `hidden beast` number, since 3 + 487 + 3 + 83 + 90 + 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 287 ways as a sum of consecutive naturals, for example, 44144061 + ... + 44144139.

Almost surely, 2^3487383900 is an apocalyptic number.

3487383900 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 3487383900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582848000).

3487383900 is an abundant number, since it is smaller than the sum of its proper divisors (11678312100).

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

3487383900 is a wasteful number, since it uses less digits than its factorization.

3487383900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3487383900 is about 59054.0760659245. The cubic root of 3487383900 is about 1516.4680081682.

The spelling of 3487383900 in words is "three billion, four hundred eighty-seven million, three hundred eighty-three thousand, nine hundred".