4087874700 has 864 divisors, whose sum is σ = 17288893440. Its totient is φ = 783820800.

The previous prime is 4087874699. The next prime is 4087874809. The reversal of 4087874700 is 74787804.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57575665 + ... + 57575735.

Almost surely, 2^4087874700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4087874700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644446720).

4087874700 is an abundant number, since it is smaller than the sum of its proper divisors (13201018740).

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

4087874700 is a wasteful number, since it uses less digits than its factorization.

4087874700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 4087874700 is about 63936.4895814589. The cubic root of 4087874700 is about 1598.9413178788.

The spelling of 4087874700 in words is "four billion, eighty-seven million, eight hundred seventy-four thousand, seven hundred".