3790148760 has 192 divisors, whose sum is σ = 12864852000. Its totient is φ = 1003539456.

The previous prime is 3790148737. The next prime is 3790148777. The reversal of 3790148760 is 678410973.

It is a super-3 number, since 3×3790148760³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446972 + ... + 1449588.

Almost surely, 2^3790148760 is an apocalyptic number.

3790148760 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 3790148760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432426000).

3790148760 is an abundant number, since it is smaller than the sum of its proper divisors (9074703240).

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

3790148760 is a wasteful number, since it uses less digits than its factorization.

3790148760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3790148760 is about 61564.1840683364. The cubic root of 3790148760 is about 1559.1410952384.

The spelling of 3790148760 in words is "three billion, seven hundred ninety million, one hundred forty-eight thousand, seven hundred sixty".