3948988500 has 144 divisors (see below), whose sum is σ = 13113696960. Its totient is φ = 997617600.

The previous prime is 3948988489. The next prime is 3948988507. The reversal of 3948988500 is 58898493.

It is a happy number.

3948988500 is a `hidden beast` number, since 3 + 9 + 48 + 98 + 8 + 500 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948988507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62407 + ... + 108593.

It is an arithmetic number, because the mean of its divisors is an integer number (91067340).

Almost surely, 2^3948988500 is an apocalyptic number.

3948988500 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 3948988500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556848480).

3948988500 is an abundant number, since it is smaller than the sum of its proper divisors (9164708460).

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

3948988500 is a wasteful number, since it uses less digits than its factorization.

3948988500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46231 (or 46216 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3948988500 is about 62840.9778727225. The cubic root of 3948988500 is about 1580.6241858963.

The spelling of 3948988500 in words is "three billion, nine hundred forty-eight million, nine hundred eighty-eight thousand, five hundred".