3145621248 has 648 divisors, whose sum is σ = 12268292400. Its totient is φ = 763822080.

The previous prime is 3145621223. The next prime is 3145621249. The reversal of 3145621248 is 8421265413.

It is a happy number.

3145621248 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 621 + 24 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145621249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21111478 + ... + 21111626.

It is an arithmetic number, because the mean of its divisors is an integer number (18932550).

Almost surely, 2^3145621248 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 3145621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134146200).

3145621248 is an abundant number, since it is smaller than the sum of its proper divisors (9122671152).

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

3145621248 is a wasteful number, since it uses less digits than its factorization.

3145621248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3145621248 is about 56085.8382125114. The cubic root of 3145621248 is about 1465.2176557725.

The spelling of 3145621248 in words is "three billion, one hundred forty-five million, six hundred twenty-one thousand, two hundred forty-eight".