3730445322240 has 1152 divisors, whose sum is σ = 15414933381120. Its totient is φ = 752693280768.

The previous prime is 3730445322169. The next prime is 3730445322271. The reversal of 3730445322240 is 422235440373.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835858249 + ... + 835862711.

It is an arithmetic number, because the mean of its divisors is an integer number (13381018560).

Almost surely, 2^{3730445322240} is an apocalyptic number.

3730445322240 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 3730445322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707466690560).

3730445322240 is an abundant number, since it is smaller than the sum of its proper divisors (11684488058880).

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

3730445322240 is a wasteful number, since it uses less digits than its factorization.

3730445322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 39.

The spelling of 3730445322240 in words is "three trillion, seven hundred thirty billion, four hundred forty-five million, three hundred twenty-two thousand, two hundred forty".