3742903962252 has 1152 divisors, whose sum is σ = 13001934274560. Its totient is φ = 932942707200.

The previous prime is 3742903962247. The next prime is 3742903962271. The reversal of 3742903962252 is 2522693092473.

3742903962252 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 9 + 0 + 3 + 9 + 622 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8119097302 + ... + 8119097762.

It is an arithmetic number, because the mean of its divisors is an integer number (11286401280).

Almost surely, 2^{3742903962252} 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 3742903962252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500967137280).

3742903962252 is an abundant number, since it is smaller than the sum of its proper divisors (9259030312308).

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

3742903962252 is a wasteful number, since it uses less digits than its factorization.

3742903962252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3742903962252 in words is "three trillion, seven hundred forty-two billion, nine hundred three million, nine hundred sixty-two thousand, two hundred fifty-two".