3145074240 has 448 divisors, whose sum is σ = 12575121408. Its totient is φ = 646963200.

The previous prime is 3145074193. The next prime is 3145074241. The reversal of 3145074240 is 424705413.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3145074240² = 19782983950223155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3145074198 and 3145074207.

It is not an unprimeable number, because it can be changed into a prime (3145074241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11605305 + ... + 11605575.

Almost surely, 2^3145074240 is an apocalyptic number.

3145074240 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 3145074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287560704).

3145074240 is an abundant number, since it is smaller than the sum of its proper divisors (9430047168).

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

3145074240 is a wasteful number, since it uses less digits than its factorization.

3145074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 3145074240 is about 56080.9614753528. The cubic root of 3145074240 is about 1465.1327194775.

Adding to 3145074240 its reverse (424705413), we get a palindrome (3569779653).

The spelling of 3145074240 in words is "three billion, one hundred forty-five million, seventy-four thousand, two hundred forty".