3488956900 has 144 divisors (see below), whose sum is σ = 8937552960. Its totient is φ = 1165478400.

The previous prime is 3488956883. The next prime is 3488956901. The reversal of 3488956900 is 96598843.

It is a happy number.

It is a super-2 number, since 2×3488956900² = 24345640500115220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (3488956901) 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, 3846247 + ... + 3847153.

It is an arithmetic number, because the mean of its divisors is an integer number (62066340).

Almost surely, 2^3488956900 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 3488956900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468776480).

3488956900 is an abundant number, since it is smaller than the sum of its proper divisors (5448596060).

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

3488956900 is a wasteful number, since it uses less digits than its factorization.

3488956900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The square root of 3488956900 is about 59067.3928661152. The cubic root of 3488956900 is about 1516.6959771067.

The spelling of 3488956900 in words is "three billion, four hundred eighty-eight million, nine hundred fifty-six thousand, nine hundred".