3538977648 has 160 divisors (see below), whose sum is σ = 9861868800. Its totient is φ = 1091328000.

The previous prime is 3538977641. The next prime is 3538977649. The reversal of 3538977648 is 8467798353.

It is a super-2 number, since 2×3538977648² = 25048725586087223808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3538977591 and 3538977600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538977641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3366723 + ... + 3367773.

It is an arithmetic number, because the mean of its divisors is an integer number (61636680).

Almost surely, 2^3538977648 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 3538977648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930934400).

3538977648 is an abundant number, since it is smaller than the sum of its proper divisors (6322891152).

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

3538977648 is a wasteful number, since it uses less digits than its factorization.

3538977648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The square root of 3538977648 is about 59489.3070055451. The cubic root of 3538977648 is about 1523.9098395970.

The spelling of 3538977648 in words is "three billion, five hundred thirty-eight million, nine hundred seventy-seven thousand, six hundred forty-eight".