3623437840 has 80 divisors (see below), whose sum is σ = 9247104576. Its totient is φ = 1309478400.

The previous prime is 3623437823. The next prime is 3623437879. The reversal of 3623437840 is 487343263.

3623437840 = 428² + 429² + ... + 2220².

3623437840 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 (80).

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 = 3623437793 and 3623437802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130810 + ... + 156070.

Almost surely, 2^3623437840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3623437840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623552288).

3623437840 is an abundant number, since it is smaller than the sum of its proper divisors (5623666736).

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

3623437840 is a wasteful number, since it uses less digits than its factorization.

3623437840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25448 (or 25442 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 3623437840 is about 60194.9984633275. The cubic root of 3623437840 is about 1535.9377167490.

The spelling of 3623437840 in words is "three billion, six hundred twenty-three million, four hundred thirty-seven thousand, eight hundred forty".