3673045393440 has 384 divisors, whose sum is σ = 12127123008000. Its totient is φ = 933609701376.

The previous prime is 3673045393337. The next prime is 3673045393441. The reversal of 3673045393440 is 443935403763.

It is not an unprimeable number, because it can be changed into a prime (3673045393441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172279101 + ... + 172300419.

It is an arithmetic number, because the mean of its divisors is an integer number (31581049500).

Almost surely, 2^{3673045393440} is an apocalyptic number.

3673045393440 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 3673045393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063561504000).

3673045393440 is an abundant number, since it is smaller than the sum of its proper divisors (8454077614560).

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

3673045393440 is a wasteful number, since it uses less digits than its factorization.

3673045393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21572 (or 21564 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 51.

The spelling of 3673045393440 in words is "three trillion, six hundred seventy-three billion, forty-five million, three hundred ninety-three thousand, four hundred forty".