3538698240 has 720 divisors, whose sum is σ = 15061286016. Its totient is φ = 692060160.

The previous prime is 3538698211. The next prime is 3538698307. The reversal of 3538698240 is 428968353.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3538698240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208158712 + ... + 208158728.

Almost surely, 2^3538698240 is an apocalyptic number.

3538698240 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 3538698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530643008).

3538698240 is an abundant number, since it is smaller than the sum of its proper divisors (11522587776).

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

3538698240 is a wasteful number, since it uses less digits than its factorization.

3538698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 3538698240 is about 59486.9585707657. The cubic root of 3538698240 is about 1523.8697334939.

The spelling of 3538698240 in words is "three billion, five hundred thirty-eight million, six hundred ninety-eight thousand, two hundred forty".