3761417088 has 640 divisors, whose sum is σ = 13684809600. Its totient is φ = 1010257920.

The previous prime is 3761417081. The next prime is 3761417089. The reversal of 3761417088 is 8807141673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3761417081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63752803 + ... + 63752861.

It is an arithmetic number, because the mean of its divisors is an integer number (21382515).

Almost surely, 2^3761417088 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 3761417088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842404800).

3761417088 is an abundant number, since it is smaller than the sum of its proper divisors (9923392512).

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

3761417088 is a wasteful number, since it uses less digits than its factorization.

3761417088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 3761417088 is about 61330.3928570493. The cubic root of 3761417088 is about 1555.1913465454.

The spelling of 3761417088 in words is "three billion, seven hundred sixty-one million, four hundred seventeen thousand, eighty-eight".