3454662240 has 144 divisors (see below), whose sum is σ = 11820685968. Its totient is φ = 918770688.

The previous prime is 3454662209. The next prime is 3454662311. The reversal of 3454662240 is 422664543.

3454662240 is a `hidden beast` number, since 34 + 546 + 62 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 3454662195 and 3454662204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568659 + ... + 574701.

It is an arithmetic number, because the mean of its divisors is an integer number (82088097).

Almost surely, 2^3454662240 is an apocalyptic number.

3454662240 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 3454662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910342984).

3454662240 is an abundant number, since it is smaller than the sum of its proper divisors (8366023728).

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

3454662240 is a wasteful number, since it uses less digits than its factorization.

3454662240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3454662240 is about 58776.3748456810. The cubic root of 3454662240 is about 1511.7101569221.

The spelling of 3454662240 in words is "three billion, four hundred fifty-four million, six hundred sixty-two thousand, two hundred forty".