3649151940 has 192 divisors, whose sum is σ = 12296503296. Its totient is φ = 790530048.

The previous prime is 3649151897. The next prime is 3649151971. The reversal of 3649151940 is 491519463.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3649151892 and 3649151901.

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, 1089909 + ... + 1093251.

It is an arithmetic number, because the mean of its divisors is an integer number (64044288).

Almost surely, 2^3649151940 is an apocalyptic number.

3649151940 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 3649151940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148251648).

3649151940 is an abundant number, since it is smaller than the sum of its proper divisors (8647351356).

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

3649151940 is a wasteful number, since it uses less digits than its factorization.

3649151940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 3649151940 is about 60408.2108657424. The cubic root of 3649151940 is about 1539.5624691716.

The spelling of 3649151940 in words is "three billion, six hundred forty-nine million, one hundred fifty-one thousand, nine hundred forty".