3145859640 has 768 divisors, whose sum is σ = 13942656000. Its totient is φ = 615859200.

The previous prime is 3145859617. The next prime is 3145859641. The reversal of 3145859640 is 469585413.

3145859640 is a `hidden beast` number, since 3 + 1 + 4 + 58 + 596 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145859641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17380350 + ... + 17380530.

It is an arithmetic number, because the mean of its divisors is an integer number (18154500).

Almost surely, 2^3145859640 is an apocalyptic number.

3145859640 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 3145859640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971328000).

3145859640 is an abundant number, since it is smaller than the sum of its proper divisors (10796796360).

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

3145859640 is a wasteful number, since it uses less digits than its factorization.

3145859640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3145859640 is about 56087.9634146222. The cubic root of 3145859640 is about 1465.2546688473.

The spelling of 3145859640 in words is "three billion, one hundred forty-five million, eight hundred fifty-nine thousand, six hundred forty".