3437263440 has 120 divisors (see below), whose sum is σ = 12431469960. Its totient is φ = 846093312.

The previous prime is 3437263429. The next prime is 3437263447. The reversal of 3437263440 is 443627343.

It can be written as a sum of positive squares in 4 ways, for example, as 231891984 + 3205371456 = 15228^2 + 56616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3437263395 and 3437263404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437263447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174255 + ... + 192974.

It is an arithmetic number, because the mean of its divisors is an integer number (103595583).

Almost surely, 2^3437263440 is an apocalyptic number.

3437263440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3437263440 is an abundant number, since it is smaller than the sum of its proper divisors (8994206520).

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

3437263440 is a wasteful number, since it uses less digits than its factorization.

3437263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367261 (or 367252 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 3437263440 is about 58628.1795726253. The cubic root of 3437263440 is about 1509.1680635762.

The spelling of 3437263440 in words is "three billion, four hundred thirty-seven million, two hundred sixty-three thousand, four hundred forty".