3437406720 has 600 divisors, whose sum is σ = 13631479092. Its totient is φ = 827228160.

The previous prime is 3437406703. The next prime is 3437406761. The reversal of 3437406720 is 276047343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3434897664 + 2509056 = 58608^2 + 1584^2 .

It is a super-3 number, since 3×3437406720³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25090492 + ... + 25090628.

Almost surely, 2^3437406720 is an apocalyptic number.

3437406720 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 3437406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815739546).

3437406720 is an abundant number, since it is smaller than the sum of its proper divisors (10194072372).

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

3437406720 is a wasteful number, since it uses less digits than its factorization.

3437406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3437406720 is about 58629.4014978833. The cubic root of 3437406720 is about 1509.1890328346.

The spelling of 3437406720 in words is "three billion, four hundred thirty-seven million, four hundred six thousand, seven hundred twenty".