3790006740 has 192 divisors, whose sum is σ = 12766656000. Its totient is φ = 927894528.

The previous prime is 3790006721. The next prime is 3790006789. The reversal of 3790006740 is 476000973.

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 = 3790006695 and 3790006704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395624 + ... + 1398336.

It is an arithmetic number, because the mean of its divisors is an integer number (66493000).

Almost surely, 2^3790006740 is an apocalyptic number.

3790006740 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 3790006740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383328000).

3790006740 is an abundant number, since it is smaller than the sum of its proper divisors (8976649260).

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

3790006740 is a wasteful number, since it uses less digits than its factorization.

3790006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3790006740 is about 61563.0306271548. The cubic root of 3790006740 is about 1559.1216208942.

The spelling of 3790006740 in words is "three billion, seven hundred ninety million, six thousand, seven hundred forty".