3437922240 has 672 divisors, whose sum is σ = 13557113856. Its totient is φ = 794787840.

The previous prime is 3437922193. The next prime is 3437922329. The reversal of 3437922240 is 422297343.

It is a happy number.

3437922240 is a `hidden beast` number, since 343 + 7 + 92 + 224 + 0 = 666.

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 = 3437922195 and 3437922204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48421405 + ... + 48421475.

Almost surely, 2^3437922240 is an apocalyptic number.

3437922240 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 3437922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778556928).

3437922240 is an abundant number, since it is smaller than the sum of its proper divisors (10119191616).

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

3437922240 is a wasteful number, since it uses less digits than its factorization.

3437922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3437922240 is about 58633.7977620416. The cubic root of 3437922240 is about 1509.2644751959.

The spelling of 3437922240 in words is "three billion, four hundred thirty-seven million, nine hundred twenty-two thousand, two hundred forty".