3444007437040 has 40 divisors (see below), whose sum is σ = 8007675475968. Its totient is φ = 1377541351680.

The previous prime is 3444007436999. The next prime is 3444007437097. The reversal of 3444007437040 is 407347004443.

3444007437040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3444007437040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3444007436984 and 3444007437002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858129 + ... + 2761231.

Almost surely, 2^{3444007437040} is an apocalyptic number.

It is an amenable number.

3444007437040 is an abundant number, since it is smaller than the sum of its proper divisors (4563668038928).

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

3444007437040 is a wasteful number, since it uses less digits than its factorization.

3444007437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925737 (or 1925731 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

The spelling of 3444007437040 in words is "three trillion, four hundred forty-four billion, seven million, four hundred thirty-seven thousand, forty".