3464778240 has 1200 divisors, whose sum is σ = 16256173824. Its totient is φ = 696729600.

The previous prime is 3464778221. The next prime is 3464778241. The reversal of 3464778240 is 428774643.

3464778240 is a `hidden beast` number, since 3 + 464 + 77 + 82 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3464778241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111767025 + ... + 111767055.

Almost surely, 2^3464778240 is an apocalyptic number.

3464778240 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 3464778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128086912).

3464778240 is an abundant number, since it is smaller than the sum of its proper divisors (12791395584).

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

3464778240 is a wasteful number, since it uses less digits than its factorization.

3464778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3464778240 is about 58862.3669248867. The cubic root of 3464778240 is about 1513.1842573864.

The spelling of 3464778240 in words is "three billion, four hundred sixty-four million, seven hundred seventy-eight thousand, two hundred forty".